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The Child and Her Blocks

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For this week’s Friday Challenge, I give you a game:

A child is organizing her playroom, and will put a series of blocks, each bearing one of the following eight letters – F, G, H, I, J, K, L, M – into a cabinet one at a time in accordance with the following conditions:

J is put in at some time before both L and F

F is put in at some time after M

I is put in at some time before J but at some time after G

H is put in at some time after J

G is put in at some time before K

  1. Which one of the following could be the order, from first to last, in which the blocks are put into the cabinet?

(A) I, M, J, G, K, L, H, F

(B) M, G, K, F, I, J, L, H

(C) G, K, I, J, F, M, H, L

(D) M, K, G, I, J, L, F, H

(E) G, K, I, J, M, H, L, F

2. Which one of the following could be true?

(A) L is the second block to be put in the cabinet

(B) G is the third block to be put in the cabinet

(C) F is the fourth block to be put in the cabinet

(D) H is the fifth block to be put in the cabinet

(E) J is the sixth block to be put in the cabinet

3. If M is the seventh block to be put in the cabinet, then which one of the following could be true?

(A) G is the second block to be put in the cabinet

(B) I is the fourth block to be put in the cabinet

(C) K is the fifth block to be put in the cabinet

(D) J is the sixth block to be put in the cabinet

(E) L is the eighth block to be put in the cabinet

4. If I is the fourth block to be put in the cabinet, then which one of the following must be true?

(A) G is the first block to be put in the cabinet

(B) M is the second block to be put in the cabinet

(C) K is the third block to be put in the cabinet

(D) J is the fifth block to be put in the cabinet

(E) L is the seventh block to be put in the cabinet

5. If F is the fifth block to be put in the cabinet, then each of the following could be true EXCEPT:

(A) M is the first block to be put in the cabinet

(B) I is the second block to be put in the cabinet

(C) J is the third block to be put in the cabinet

(D) K is the fourth block to be put in the cabinet

(E) L is the sixth block to be put in the cabinet

6. If J is put in the cabinet at some time before M is, then which one of the following could be true?

(A) G is the second block to be put in the cabinet

(B) I is the fourth block to be put in the cabinet

(C) F is the fourth block to be put in the cabinet

(D) J is the fifth block to be put in the cabinet

(E) M is the sixth block to be put in the cabinet

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4 Comments

  1. Jeff says:

    Hey Dave,

    Maybe it’s just me and my post-LSAT-ness, but I can’t get this one to work out. For instance, for the first question, I have as the first rule L-J and F-J, but none of the answers fit. It might work out however, if I reverse the first to last ordering…which has struck me right now…while I’m writing this…one sec…

  2. Dave says:

    Arrgh! Nope – it’s my fault. The first rule should have placed J BEFORE, and not after, L and F. So frustrating. Sorry for the typo!

  3. Jeff says:

    I finally remembered to come back to this. Here we go now: E, D, C, D, D, E
    Too many D for Daves, or is it, too few D for Daves?

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